Atkin-Lehner |
5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275u |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-25185686010875 = -1 · 53 · 139 · 19 |
Discriminant |
Eigenvalues |
-1 3 5- -1 -2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8820,-397718] |
[a1,a2,a3,a4,a6] |
j |
-125751501/41743 |
j-invariant |
L |
1.9379524240475 |
L(r)(E,1)/r! |
Ω |
0.2422440482708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80275r1 6175j1 |
Quadratic twists by: 5 13 |